Question

A triangle has vertices P(1, 3), Q(3, 5), and R(6, 2). The slope of the median to QR is?

Answer 1

@acxbox22

Answer 2

plot the three coordinates

Answer 3

don't you just find the slope of QR since slope doesn't change in a line

Answer 4

lemme fix that

Answer 5

you find the midpoint of QR
then you find the slope of the point opposite side QR and the midpoint of QR

Answer 6

ok i graphed it

Answer 7

\(\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({\color{red}{ 3}}\quad ,&{\color{blue}{ 5}})\quad
% (c,d)
R&({\color{red}{ 6}}\quad ,&{\color{blue}{ 2}})
\end{array}\qquad
% coordinates of midpoint
\left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right)\)

anyhow, find the median point
and use that with the point P to get the slope for that

Answer 8

why would i use p

Answer 9

yep except r should be lower than p

Answer 10

hmmm "not drawn to scale" :P

Answer 11

wait i understand what the question is asking now

Answer 12

but you're correct, it is lower than P

Answer 13

the slope of midpoint of QR and P

Answer 14

midpoint is (-3/2,3/2)

Answer 15

1.5/2.5

Answer 16

but thats not an answer

Answer 17

@jdoe0001

Answer 18

hmmm

Answer 19

I guessed and somehow the answer is 1/7?

Answer 20

well.. your midpoint is .... off for one
I got something else

Answer 21

what did you get?

Answer 22

wait nevermind I screwed up my numbers oops

Answer 23

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({\color{red}{ 3}}\quad ,&{\color{blue}{ 5}})\quad
% (c,d)
R&({\color{red}{ 6}}\quad ,&{\color{blue}{ 2}})
\end{array}\qquad
% coordinates of midpoint
\left(\cfrac{{\color{red}{ 6}} + {\color{red}{ 3}}}{2}\quad ,\quad \cfrac{{\color{blue}{ 2}} + {\color{blue}{ 5}}}{2} \right)\implies ?\)

Answer 24

Thank you I did it again and got 1/7

Answer 25

yeah thats what i did the second time

Answer 26

(1.5,2.5)

Answer 27

well... yes but it happens to give a slope of 1/7, yes
but with the correct midpoint

Answer 28

Yep I messed up, but i got to it, thank you for helping me

Answer 29

yw